10632210953280 has 448 divisors, whose sum is σ = 39910620069888. Its totient is φ = 2346724638720.

The previous prime is 10632210953263. The next prime is 10632210953297. The reversal of 10632210953280 is 8235901223601.

It is an interprime number because it is at equal distance from previous prime (10632210953263) and next prime (10632210953297).

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×10632210953280² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 96397044 + ... + 96507276.

Almost surely, 2^{10632210953280} is an apocalyptic number.

10632210953280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10632210953280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19955310034944).

10632210953280 is an abundant number, since it is smaller than the sum of its proper divisors (29278409116608).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10632210953280 is a wasteful number, since it uses less digits than its factorization.

10632210953280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110754 (or 110744 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 10632210953280 in words is "ten trillion, six hundred thirty-two billion, two hundred ten million, nine hundred fifty-three thousand, two hundred eighty".